Ok this is probably not even close to the answer but I work better with numbers. Okay here goes: 1/4 : 1 (1 being the longer side, 1/4 being the shorter).

I thought about it for a while then got a head ache so thought it might be an easy answer since I wasn't given any numbers. I took the original numbers to be 1/2 : 1 (for every one the shorter side would be half that.) So folding it in half gives you a quarter, for every one the shorter side would be a quarter of that. If 1 = 20, then 1/4 = 5. Or something like that